Solve sqrt{left(79-92right)^2+left(194-177right)^2+left(225-207right)^2}

$$\sqrt{ { \left( 79-92 \right) }^{ 2 } + { \left( 194-177 \right) }^{ 2 } + { \left( 225-207 \right) }^{ 2 } }$$

Evaluate

$$\sqrt{782}\approx 27.964262908$$

Solution Steps

Subtract 92 from 79 to get -13.

$$\sqrt{\left(-13\right)^{2}+\left(194-177\right)^{2}+\left(225-207\right)^{2}}$$

Calculate -13 to the power of 2 and get 169.

$$\sqrt{169+\left(194-177\right)^{2}+\left(225-207\right)^{2}}$$

Subtract 177 from 194 to get 17.

$$\sqrt{169+17^{2}+\left(225-207\right)^{2}}$$

Calculate 17 to the power of 2 and get 289.

$$\sqrt{169+289+\left(225-207\right)^{2}}$$

Add 169 and 289 to get 458.

$$\sqrt{458+\left(225-207\right)^{2}}$$

Subtract 207 from 225 to get 18.

$$\sqrt{458+18^{2}}$$

Calculate 18 to the power of 2 and get 324.

$$\sqrt{458+324}$$

Add 458 and 324 to get 782.

$$\sqrt{782}$$